When two triangles are similar, they're sides are in proportion.
In order to find the unknown side, we first have to find the ratio of the larger triangle to the smaller triangle.
We can use the sides TV and LN to make the proportion.
= 
The ratio between the two triangles is 21:6
Now we can solve for the unknown side.
= 
Cross multiply:
8 * 21 = 6 * LM
168 = 6LM
Divide both sides by 6:
LM = 28
The unknown side's length is 28 centimeters
Good luck!
Answer:
Step-by-step explanation:
the formula used for any interest other then continuously is
A=P(1+r/n)^nt
so... r=rate in decimal form ONLY n=how often interest is paid t=time passed
A=3000(1+.08/1)^(1)(5) = annually
A=3000(1+.08/2)^(2)(5)
A=3000(1+.08/4)^(4)(5)
use you calculator to get the answer
it is good practice to use your calculator now because soon you will be using it for population questions and those need to be entered very carefully.
Answer:
Step-by-step explanation:
The nth term of an arithmetic sequence is given by the formula,
We were given that the 9th term is 
.
The sum of the first n-terms is given by the formula,
To find 
, we substitute 
, 
and 
.
The correct answer is D
Answer:
red and green
Step-by-step explanation:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
